sir generally if an equation has two logarathimic variables with different bases how to solve it

example

log4 (x-10= log2 (x-3)

where 4 and 2 are bases

log_a b = logb/loga

log₄(x-10) = log₂(x-3)

log(x-4)/log4 = log(x-3)/log2

{ log4 = log2² = 2log2 }

log(x-4)/2log2 = log(x-3)/log2

log(x-4) = 2log(x-3) = log(x-3)²

x-4 = (x-3)²  

x² -7x + 13 = 0

now solve this & get x

approve if u like my ans